Bardeen potential

E231746

The Bardeen potential is a gauge-invariant gravitational potential used in cosmological perturbation theory to describe scalar metric fluctuations in the early universe.

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Bardeen potential canonical 2

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Statements (46)

Predicate Object
instanceOf cosmological perturbation variable
gauge-invariant quantity
gravitational potential
scalar metric perturbation
alsoCalled gauge-invariant potential
appliesTo FLRW cosmological models
surface form: Friedmann–Lemaître–Robertson–Walker metric

early universe
assumes linear perturbation regime
definedFor scalar sector of metric perturbations
definedIn longitudinal gauge
definedRelativeTo background FLRW solution
dependsOn metric perturbations
scalar part of metric fluctuations
describes scalar metric fluctuations
domain theoretical cosmology
framework general relativity
hasSymbol Φ
Ψ
hasType scalar perturbation variable
helpsEnsure gauge-invariant physical predictions in cosmology
introducedBy James M. Bardeen
introducedIn 1980
introducedInWork Gauge-invariant cosmological perturbations
isGaugeInvariantUnder linearized coordinate transformations
isPartOf gauge-invariant formalism of cosmological perturbations
mathematicalNature space-time scalar field
relatedTo Newtonian gravitational potential
comoving curvature perturbation
curvature perturbation
metric potentials Φ and Ψ in conformal Newtonian gauge
satisfies linearized Einstein equations
transformsAs scalar under spatial rotations
usedIn Boltzmann codes for cosmology
cosmological perturbation theory
inflationary cosmology
linear theory of cosmological perturbations
relativistic cosmology
usedToAnalyze Sachs–Wolfe effect
gravitational lensing of CMB
integrated Sachs–Wolfe effect
usedToCompute cosmic microwave background anisotropies
large-scale structure formation
usedToDescribe gravitational potential wells in the early universe
growth of density perturbations
usedToTest models of dark energy
modified gravity theories

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Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

James M. Bardeen notableWork Bardeen potential
James M. Bardeen notableConcept Bardeen potential